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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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Anomalous Stellar Energy Losses Bounded by Observations 61<br />

Fig. 2.16. Observables in the color-magnitude diagram of a typical globular<br />

cluster (here M15 after Sandage 1986). Depending on the metallicity, the<br />

red-giant “bump” can also appear below the HB brightness.<br />

In the color-magnitude diagram of a globular cluster (Fig. 2.3) the<br />

stars arrange themselves in a characteristic pattern which is schematically<br />

shown in Fig. 2.16. Each branch corresponds to a certain evolutionary<br />

ph<strong>as</strong>e <strong>as</strong> discussed in Sect. 2.1. Typically, all stars in a<br />

given cluster are coeval and have a fixed chemical composition; they<br />

differ only in their m<strong>as</strong>s. After <strong>for</strong>mation, they all began their evolution<br />

on the zero-age main-sequence <strong>as</strong> in Fig. 2.2. The more m<strong>as</strong>sive<br />

stars evolve f<strong>as</strong>ter, become red giants and explode <strong>as</strong> supernovae<br />

(M > ∼ 8 M ⊙ ), or become white dwarfs (M < ∼ 8 M ⊙ ). Recently, many<br />

pulsars, the remnants of type II supernovae and thus of m<strong>as</strong>sive stars,<br />

have indeed been found in globular clusters. The upper main sequence<br />

(MS) is depleted of stars down to a limiting value below which they<br />

have not had time to complete hydrogen burning. There<strong>for</strong>e, the stellar<br />

m<strong>as</strong>s corresponding to the MS turnoff (TO) is a precise me<strong>as</strong>ure<br />

of the cluster age. A typical value is 0.7−0.9 M ⊙ , depending on the<br />

precise age and metallicity.<br />

The color-magnitude diagram of a globular cluster represents an<br />

“isochrone” of a stellar population. It shows the locus of coeval stars<br />

with different initial m<strong>as</strong>ses. It is to be distinguished from the evolutionary<br />

track of a single star (Fig. 2.6) which shows a star of a fixed<br />

m<strong>as</strong>s at different ages. However, the evolution beyond the MS is very

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